Hardware Reference
In-Depth Information
Fig. 14.2 Floating FDNR
employing two DVCCs
proposed by Sedef and
Acar [
8
]
z
2
y
2
I
1
V
1
y
1
DVCC
z
1
x
Z
1
Z
3
y
2
z
2
y
1
DVCC
z
1
V
2
x
I
2
Z
2
components by formulating a generalized four-node structure (including one node as
a ground) in which a CCIII was embedded with its three terminals terminated into
the remaining three nodes of the structure. This generalized configuration gave birth
to a number of special cases out of which here we have included four specific circuits
which have the desirable feature of employing a grounded capacitor and the use of a
minimum of only two resistors. These circuits are shown in Fig.
14.3
. The circuits of
Fig.
14.3a and b
use non-inverting CCIII while the circuits of Fig.
14.3c and d
employ inverting CCIII. Assuming ideal CCIII
, an analysis of these circuits gives:
1
R
1
þ
1
R
2
þ
1
sC
0
R
1
R
2
¼
Y
ina
¼
Y
inc
ð
14
:
2
Þ
and
Z
inb
¼
R
1
þ
R
2
þ
sC
0
R
1
R
2
¼
Z
ind
ð
14
:
3
Þ
From the above expressions, it is clear that the circuits of Fig.
14.3a and c
simulate a
parallel R-L immittance while Fig.
14.3b and d
simulate a series R-L immittance
without the requirements of any component-matching or cancellation condition.
Furthermore, the application of the RC: CR transformation on these four circuits
would yield circuits capable of simulating parallel C-D and series C-D immittances
respectively.
For verifying the workability of the circuits, a CMOS CCIII proposed by
Piovaccari [
55
] with level 28 MOS model parameters provided by TSMC 0.6
μ
m
CMOS technology were employed. The biasing supply was
2.5 V and the circuits
were used to realize simple filters whose SPICE simulation results were found to be
in good agreement with theory.
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